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Finding the Fourth Proportional to 64,142.30, 96,223.98 and 19,769.06

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Solution

The fourth proportional to 64,142.30, 96,223.98 and 19,769.06 is: 29,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.30 : 96,223.98 = 19,769.06 : x
  2. Step 2: Convert to fraction form
    64,142.30/96,223.98 = 19,769.06/x
  3. Step 3: Cross multiply
    64,142.30x = 96,223.98 × 19,769.06
  4. Step 4: Simplify right side
    64,142.30x = 1,902,257,634.06
  5. Step 5: Solve for x
    x = 1,902,257,634.06/64,142.30
  6. Step 6: Final answer
    x = 29,656.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.